DocumentCode
926810
Title
Hilbert transform relations for products
Author
Cain, Gerald D.
Author_Institution
Polytechnic of Central London, London, England
Volume
61
Issue
5
fYear
1973
fDate
5/1/1973 12:00:00 AM
Firstpage
663
Lastpage
664
Abstract
A general formula for the Hilbert transform of a product of complex-valued functions is developed. Certain simplifications are then exhibited for products often encountered in the context of modulation and signal processing. The approach chosen is one of frequency partitioning; this permits signal definition on complementary sections of the frequency axis and leads to compact and easily manipulated expressions.
Keywords
Baseband; Fourier transforms; Frequency; Labeling; Narrowband; Signal analysis; Signal processing;
fLanguage
English
Journal_Title
Proceedings of the IEEE
Publisher
ieee
ISSN
0018-9219
Type
jour
DOI
10.1109/PROC.1973.9125
Filename
1451055
Link To Document